MM vs PB Machine Loading Bias

MM vs PB Machine Loading Bias

Preface: I do not often play the lottery. I’m a device engineer and this submit (my first in this discussion board) is a results of a piece dialogue which inadvertently led to one thing I to find unusual. I am keen on responses from all you lottery gurus and this discussion board looked like an attractive full of life position for one of these reaction. 

The powerball machines are loaded in a taken care of order. Starting with the number one ball, backside to best, proper to left. Mega Millions alternatively appears to be loaded in random order the use of some unknown approach. One may suppose with the duration of time and random spinning of the device carousel, all bias is got rid of. That will be the maximum distinguished and apparently cheap assumption. To check this we seemed on the closing 2 years of each MM and PB and in comparison the distribution of the 2. What I discovered wasn’t essentially surprising, however nonetheless a little bit unusual / possibly? We began with October 2015 in each samples the use of the closing 205 attracts to do away with the information from when the PB structure modified numbers. Here are simply the primary summaries:

Powerball abstract nums 205 attracts:

WB1 WB2 WB3 WB4 WB5
Min 1 1 1 2 1
Max 69 69 69 69 69
Avg 34.69 33.83 36.11 39.05 34.93
med 33 31 36 41 32
stdev 19.75 20.48 19.79 20.12 20.45

 

MegaMillions abstract  nums 205 attracts:

WB1 WB2 WB3 WB4 WB5
Min 1 1 1 1 1
Max 74 75 75 75 75
Avg 36.84 37.30 36.15 37.81 38.76
med 37 37 36 37 38
stdev 20.31 20.61 22.55 20.64 20.94

 

Look at how a lot more dull / normalized the MM numbers are. Is there some type of device bias, possibly by hook or by crook brought about via the way in which the powerball numbers or loaded? I additionally cut up the PB knowledge into two samples of 102 and 103. Guess what, not anything modified. I then created my very own random quantity generated in excel and ran it 205 occasions for five numbers between 1 and 69. Interesting… a lot more dull knowledge as can be anticipated!

WB1 WB2 WB3 WB4 WB5
Min 1 1 1 1 1
Max 69 69 69 69 69
Avg 34.92 34.63 34.57 34.38 33.69
med 33 35 37 35 35
stdev 20.52 19.82 19.03 20.17 19.97

 

I then ran this 100 occasions at the similar pattern measurement to peer if I may generate anything else with a bias like actual PB historical past. A big deviation coupled with the next reasonable (39) turns out to happen in about five% of the runs.

My submit is 100% interest. I am a programmer now not a statistician or avid gambler. Just curious assuming numerous you guys stay on this type of stuff, what your ideas are. Is this crucial / price a deeper dive or would you push aside it as simply an anomaly of nature which is able to ultimately even out in a couple of extra years?

Updated: September 9, 2017 — 1:53 am

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